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3 years ago

13

Alexa and her friends went out for pizza to celebrate the softball team’s victory. Their total bill for the pizza and drinks wa

s $32.50. If they left a 20% tip for their server, how much tip did they leave?
How do I solve this problem?

1 answer:

Nitella [24]3 years ago

5 0

Answer:

$39

Step-by-step explanation:

32.50:100 × 20 = $6.50

32.50+6.50 = $39

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What is the value of a? Blank units

Damm [24]

Answer:

289

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a = 8 b= 15 c = s

64 + 225 = 289

square root 289 = 17

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3 years ago

Pentagon ABCDE was enlarged: a What is the ratio of enlargement to the original? Convert the ratio to a percent.

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Answer:

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3 years ago

Marvin invested 65% of his retirement account in stocks and 35% in gold. Marvin believes that the return to stocks over the next

ser-zykov [4K]

Answer:

1)

the mean rate of return is 17 %

the standard deviation of return is 17.06055

2)

the probability that Marvin's portfolio will make at least 20% over the next 12 months is 0.4325

Step-by-step explanation:

Given the data in the question;

1)

For the portfolio, the mean return and standard deviation are computed as follows;

Mean = Return = 0.65 × 10 + 0.35 × 30

= 6.5 + 10.5

= 17 %

Therefore, the mean rate of return is 17 %

Standard deviation will be;

σp = √( 0.65² × 15² + 0.35² × 40² )

= √( 0.4225 × 225 + 0.1225 × 1600 )

= √( 95.0625 + 196 )

= √291.0625

= 17.06055

Therefore, the standard deviation of return is 17.06055

2)

probability that Marvin's portfolio will make at least 20% over the next 12 months.

P( X > 20 )

we convert to a standard normal variable;

Z = $\frac{20-17}{17.06055}$ )

Z = 0.17

from z table, p-value is;

p( X < 20 ) = 0.5675

P( X > 20 ) 1 - 0.5675 = 0.4325

Therefore, the probability that Marvin's portfolio will make at least 20% over the next 12 months is 0.4325

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3 years ago

Mr. Smith asked his students whether they prefer to go to the museum or the zoo for a field trip. He found that 35% of the stude

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Step-by-step explanation:

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2 years ago

V= 512^2/3* 19683^1/3*256^1/4

irina1246 [14]

Answer:

V=512^2/3* 19683^1/3*256^1/4 = 6912

Step-by-step explanation:

V= $(512^{\frac{2}{3} } ) \times (19683^{\frac{1}{3} } )\times (256^{\frac{1}{4} } )\\$

As

$2^{9} = 512\\2^{8} = 256\\19683^{\frac{1}{3} } = 27\\$

putting values in equation

V= $2^{9(^{\frac{2}{3} } )} \times 27 \times 2^{8^({\frac{1}{4}) } } \\$ let it be equation 1

As

$2^9^{\frac{2}{3} } = 2^6 according\,to\,exponential\,rule\\2^8^\frac{1}{4} = 2^2 according\,to\,exponential\,rule\\\\$

putting values in equation 1

$V= 2^6\times 27\times 2^2$

According to exponential rule $2^6 \times 2^2 = 2^8$

V= $2^8 \times 27\\$

$V=256\times 27\\V=6912$

So

V= 6912

Keywords: Algebra

Learn more about algebra at:

#learnwithBrainly

7 0

3 years ago